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Math Expert V
Joined: 02 Sep 2009
Posts: 58445
JWICO makes three models of Computers, model X, model Y and model Z.  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 78% (03:10) correct 22% (03:55) wrong based on 45 sessions

JWICO makes three models of Computers, model X, model Y and model Z. The selling price of model X is $700, which is 140 percent of the selling price of model Y, and 35 percent of the selling price of Z. If the manufacturer sells 210 computers, 3/7 of which are model Y, and an equal number of X and Z models, what is the total revenue from the sale of computers? A. 132,900 B. 178,500 C. 190,000 D. 207,000 E. 290,000 _________________ Senior PS Moderator V Joined: 26 Feb 2016 Posts: 3335 Location: India GPA: 3.12 Re: JWICO makes three models of Computers, model X, model Y and model Z. [#permalink] Show Tags Bunuel wrote: JWICO makes three models of Computers, model X, model Y and model Z. The selling price of model X is$700, which is 140 percent of the selling price of model Y, and 35 percent of the selling price of Z. If the manufacturer sells 210 computers, 3/7 of which are model Y, and an equal number of X and Z models, what is the total revenue from the sale of computers?

A. 132,900
B. 178,500
C. 190,000
D. 207,000
E. 290,000

Selling price of Model X is 140% of Model Y and the ratio of prices of X and Y are 140:100(7:5)
Since the selling price of Model X is 700$, selling price of Model Y is 500$
Similarly, the selling price of Model X is 35% the price of Model Z and the ratio-Z:Y is 100:35(20:7)
This makes the selling price of Model Z, 2000$Of the total 210 computer manufactured, 3/7*210 or 90 of the computers are of Model Y. Remaining models are 210-90 = 120 Half of these are Model X, and other half are Model Z making X=Z=60 Total revenue from the sales of computers is 60*700 + 90*500 + 60*2000 = 42000+45000+120000 = 207000(Option D) _________________ You've got what it takes, but it will take everything you've got Senior SC Moderator V Joined: 22 May 2016 Posts: 3558 Re: JWICO makes three models of Computers, model X, model Y and model Z. [#permalink] Show Tags Bunuel wrote: JWICO makes three models of Computers, model X, model Y and model Z. The selling price of model X is$700, which is 140 percent of the selling price of model Y, and 35 percent of the selling price of Z. If the manufacturer sells 210 computers, 3/7 of which are model Y, and an equal number of X and Z models, what is the total revenue from the sale of computers?

A. 132,900
B. 178,500
C. 190,000
D. 207,000
E. 290,000

Fractions are better than decimals for percents in this problem

Total revenue = (Price*qty)X + (Price*qty)Y + (Price*qty)Z

Quantities:

$$\frac{3}{7}$$ of 210 are Y, rest are equally split between X and Z
$$Y = (\frac{3}{7} * 210) = 90$$
$$(210 - 90) = 120$$
$$X = Z = 60$$

Prices:

$$X$$ price = $$700$$

$$Y$$ price: $$X$$ is $$140$$ percent of $$Y$$
$$X = \frac{140}{100}Y$$
$$X =\frac{7}{5} Y$$
$$Y = \frac{5}{7} X$$
$$Y = (\frac{5}{7})(700) = 500$$

$$Z$$ price: $$X$$ is $$35$$ percent of $$Z$$
$$X =\frac{35}{100}Z$$
$$X = \frac{7}{20}Z$$
$$Z =\frac{20}{7}X$$
$$Z =(\frac{20}{7})(700)= 2,000$$

Total revenue:

$$(700)(60) + (500)(90) + (2,000)(60)$$
$$42,000 + 45,000 + 120,000 = 207,000$$

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Instructions for living a life. Pay attention. Be astonished. Tell about it. -- Mary Oliver Re: JWICO makes three models of Computers, model X, model Y and model Z.   [#permalink] 05 Jan 2018, 14:33
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